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8103816 = 2332722297
BaseRepresentation
bin11110111010011110001000
3120020201100100
4132322132020
54033310231
6445405400
7125611200
oct36723610
916221310
108103816
114635576
122869860
1318a9776
14110d400
15aa11e6
hex7ba788

8103816 has 72 divisors (see below), whose sum is σ = 25542270. Its totient is φ = 2314368.

The previous prime is 8103811. The next prime is 8103817. The reversal of 8103816 is 6183018.

It can be written as a sum of positive squares in only one way, i.e., 7001316 + 1102500 = 2646^2 + 1050^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 8103816.

It is not an unprimeable number, because it can be changed into a prime (8103811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2380 + ... + 4676.

Almost surely, 28103816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8103816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12771135).

8103816 is an abundant number, since it is smaller than the sum of its proper divisors (17438454).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8103816 is a wasteful number, since it uses less digits than its factorization.

8103816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8103816 is about 2846.7202180755. The cubic root of 8103816 is about 200.8614178034.

The spelling of 8103816 in words is "eight million, one hundred three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 2297 3528 4594 6891 9188 13782 16079 18376 20673 27564 32158 41346 48237 55128 64316 82692 96474 112553 128632 144711 165384 192948 225106 289422 337659 385896 450212 578844 675318 900424 1012977 1157688 1350636 2025954 2701272 4051908 8103816